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Finding the Third Proportional to 52,120 and 122,909

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Solution

The third proportional to 52,120 and 122,909 is: 289,843.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,120 : 122,909 = 122,909 : x
  2. Step 2: Convert to fraction form
    52,120/122,909 = 122,909/x
  3. Step 3: Cross multiply
    52,120x = 122,909 × 122,909
  4. Step 4: Simplify right side
    52,120x = 15,106,622,281
  5. Step 5: Solve for x
    x = 15,106,622,281/52,120
  6. Step 6: Final answer
    x = 289,843.10

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.